{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f8120058-c2cf-4e74-b085-01a0f11149ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Linear Regression MSE: 0.1111\n",
      "Linear Regression R2: -0.2520\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ridge Regression MSE: 0.1108\n",
      "Ridge Regression R2: -0.2486\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import train_test_split, cross_val_score\n",
    "from sklearn.linear_model import LinearRegression, Ridge\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "\n",
    "# 假设数据加载和预处理\n",
    "np.random.seed(0)\n",
    "X = np.random.rand(100, 10)  # 100个样本，10个特征\n",
    "y = np.random.rand(100)  # 100个连续值标签\n",
    "\n",
    "# 数据集分离\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "# 数据标准化\n",
    "scaler = StandardScaler()\n",
    "X_train_scaled = scaler.fit_transform(X_train)\n",
    "X_test_scaled = scaler.transform(X_test)\n",
    "\n",
    "# 线性回归模型训练与评估\n",
    "linear_model = LinearRegression()\n",
    "linear_model.fit(X_train_scaled, y_train)\n",
    "\n",
    "# 评估模型\n",
    "y_pred = linear_model.predict(X_test_scaled)\n",
    "mse = mean_squared_error(y_test, y_pred)\n",
    "r2 = r2_score(y_test, y_pred)\n",
    "\n",
    "print(f\"Linear Regression MSE: {mse:.4f}\")\n",
    "print(f\"Linear Regression R2: {r2:.4f}\")\n",
    "\n",
    "# 绘制学习曲线\n",
    "train_scores = cross_val_score(linear_model, X_train_scaled, y_train, cv=5, scoring='neg_mean_squared_error')\n",
    "test_scores = cross_val_score(linear_model, X_test_scaled, y_test, cv=5, scoring='neg_mean_squared_error')\n",
    "\n",
    "# 转换为正数\n",
    "train_scores = -train_scores * -1\n",
    "test_scores = -test_scores * -1\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(train_scores, label='Training Score')\n",
    "plt.plot(test_scores, label='Testing Score')\n",
    "plt.title('Learning Curve')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('MSE')\n",
    "plt.legend()\n",
    "plt.savefig('图4_学习曲线.png')\n",
    "plt.show()\n",
    "\n",
    "# 正则化方法的应用\n",
    "ridge_model = Ridge(alpha=1.0)\n",
    "ridge_model.fit(X_train_scaled, y_train)\n",
    "y_pred_ridge = ridge_model.predict(X_test_scaled)\n",
    "mse_ridge = mean_squared_error(y_test, y_pred_ridge)\n",
    "r2_ridge = r2_score(y_test, y_pred_ridge)\n",
    "\n",
    "print(f\"Ridge Regression MSE: {mse_ridge:.4f}\")\n",
    "print(f\"Ridge Regression R2: {r2_ridge:.4f}\")\n",
    "\n",
    "# 绘制Ridge回归结果\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(y_test, label='Actual')\n",
    "plt.plot(y_pred_ridge, label='Predicted')\n",
    "plt.title('Ridge Regression Prediction')\n",
    "plt.xlabel('Sample Index')\n",
    "plt.ylabel('Target')\n",
    "plt.legend()\n",
    "plt.savefig('图3_正则化方法应用.png')\n",
    "plt.show()"
   ]
  },
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   "execution_count": null,
   "id": "a6e4a979-4174-4c4d-9ada-c0a2ee71b02f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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